What is the equation of a line that passes through the points (-3,4) and (2, 8

Answers

Answer 1

Answer:

y = 4/5x + 32/5

Step-by-step explanation:

(-3,4) and (2, 8)

Slope:

m=(y2-y1)/(x2-x1)

m=(8-4)/(2+3)

m= 4/5

Slope-intercept:

y - y1 = m(x - x1)

y - 4 = 4/5(x + 3)

y - 4 = 4/5x + 12/5

y = 4/5x + 32/5


Related Questions

the cost of fencing a circular field at the rate of Rs 12. per metre is Rs 2640 . find the radius of the field

Answers

Radius = 35 m 

Step-by-step explanation:Given:

Cost of fencing circular field is Rs 2640 at rate of Rs 12 per metre.

To Find:

What is the radius of the circular field ?

Solution:

 Let the radius of circular field be r metre.

Here , if we'll divide the total cost by per metre cost of fencing then we'll get circumference of the circular field.

★ Circumference = Total cost/Cost per metre ★

➯ Circumference = 2640/12

➯ 220 m

As we know that , formula of circumference is

★ Circumference = 2πr ★

⟹ 220 = 2 × 22/7 × r⟹ 220 = 44/7 × r⟹ 220 × 7/44 = r⟹ 20 × 7/4 = r⟹ 5 × 7 = r⟹ 35 = r

Hence, the radius of circular field is 35 metre.

Answer:

Solution given:

total cost =Rs 2640

rate=Rs 12/metre

We have

circumference of circle =[tex] \frac{total cost}{rate} = \frac{2640}{12} [/tex]

2πr=220m

r=[tex] \frac{220}{2π} [/tex]=35.01

r=35m(approximately)

the radius of the field is 35m.

Find the geometric mean of 16 and 36. Write your answer in simplest form. The geometric mean is​

Answers

Answer:

Step-by-step explanation:

the geo. mean is the nth root of the product of n numbers

Here there are two numbers; geo. mean is the square root of their product

g = √(16 * 36)

g = 4 * 6

g = 24

Geometric mean is the mean which is the average of a set of a product.

The geometric mean of the given numbers is 24.

What is geometric mean?

Geometric mean is the mean which is the average of a set of a product.

It can be given as,

[tex](\prod_{i=1}^{n}x_i)^{1/n}=\sqrt[n]{x_1\times x_2\times x_3...........x_n}[/tex]

Here [tex]x_i[/tex] is the values of the average and [tex]n[/tex] is the number of values.

Given information-

The numbers given in the problem is 16 and 36.

The Geometric mean for the number 16 and 36 has to find out.

Use the above formula to find the geometric mean for the number 16 and 36. Thus,

[tex]\prod=\sqrt{16\times36}[/tex]

[tex]\prod=\sqrt{576}\\\prod=24[/tex]

Hence the geometric mean of the given numbers is 24.

Learn more about the geometric mean here;

https://brainly.com/question/47038

Thomas is keeping records at the city fishing tournament. The table shows the information on the number of each type of fish caught in the tournament so far.
Perch: 32 Perch Fish Caught
SunFish: 21 SunFish Fish Caught
Bass: 14 Bass Fish Caught
Walleye: 12 Walleye Fish Caught

Find the probability that the next fish will be either a bass or a walleye. Write your answer as a percent, with the percent symbol. If needed, round to the nearest tenth.

Answers

Answer:

its 2.7% :D

Step-by-step explanation:

Im doing the quiz rn

explaination:

12/79 x 14/79 = 168/6241 (79 is the total fish)

168/6241 = 2.7% (rounded)

Hope I helped :D

Anyone please help I just need help with this problem

Answers

Answer:

21.91 meters

Step-by-step explanation:

Since they already give you the hypotenuse, you will find the other missing side using this formula:

A= [tex]\sqrt{c^2 - b^2}[/tex]

So c² = 1,156

and b² = 676

1156 - 676 = 480

------

The square root of 480 is around 21.91

Let's double check, to double check, pretend that you don't know the hypotenuse, but you know the a and b sides.

So: 480.05 + 676 = 1,156.05

[tex]\sqrt{1156.05}[/tex] ≈ 34

-------

Have a good day :)

Given m || n, find the value of x and y.
m(7x+13)
n(3y-17) (9x-19)

Answers

Answer:

[tex]9x - 19 = 7x + 13 \\ 2x = 32 \\ x = 16 \\ 3y - 17 + 9x - 19 = 180 \\ 9x + 3y = 180 + 17 + 19 \\ 9x + 3y = 216 \\ 3y = 216 - 144 = 72 \\ y = \frac{72}{3} = 24[/tex]

The surface area of a three-dimensional object is? This is a brainpop question, there is no picture, and tis a straight forward question

Answers

Answer:

What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.

don't know if this is what you were looking for but I hope this helps.

The formula for the circumference, C, of a circle with given radius, r, is C = 2nr.
What is the circumference of a circle with a radius of 3 1-2 meters?
(Use 21
22
as an estimate for n.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters

Answers

Answer:

C. 22

Step-by-step explanation:

C = circumference

n (pi) = 22/7

r = 3 1 /2

Plug in the numbers for each variable.

C = 2x (22/7) x (3 1/2)

Change the mixed number inIto an improper fraction by multiplying 3 x 2 and adding the 1 which gives us 7 over 2 because 2 is our denominator  so, 3 1/2 = 7/2. It also helps to have 1 as the denominator for 2.

C = (2/1) x (22/7) x (7/2)

Lastly, just multiply the numerators across which give us 308 then multiply the denominators across which gives us 14, so then we divide 308 by 14 and get 22.

Mila and Nadia have R480 between them.
Mila has 7 times as much as Nadia.
How much does each of them have?​

Answers

Answer:

Mila= 420 Nadia= 60

Step-by-step explanation:

Let's call Mila 7x. And x to Nadia. The two of them had a total of 480s.

Then we say 7x + x. Their total is 8x. So 480 = 8x. We divide both sides by 8. Here x = 60. Since Mila is 7x, we find Mila as 7.60 = 420, and since Nadia as x, we find Nadia as 1.60 = 60.

If there is any place you don't understand, you can ask.

#Achievements

Find 3 ratios that are equivalent to the given ratio.
3/4

Answers

Answer:

12/16

That’s one

What is the area of the triangle shown below? 13 13 10

Answers

Answer: 60 units^2

Step-by-step explanation:

Identify the number of Point P below.

Answers

Answer:

1 1/4

Step-by-step explanation:

The answer would have to be 11/4

Which expressions are equivalent?

Answers

Answer:

the one already selected

Answer:

The one selected

Step-by-step explanation:

Kate has 3 quarts of a 5% sugar solution she wants to mix this with 2478% sugar solution and X quarts of a 12% sugar solution to make a 10% sugar solution how many quarts of a 12% sure solution to Katie‘s

Answers

Answer:

The volume of the 12% sugar solution required, 'X' for a given volume of the 8% sugar solution, 'Y' is;

X = (2·Y + 15)/2

When the volume of the 8% sugar solution, Y = 2 quartz, the volume of the 12% sugar solution required, X = 9.5 gallons

Step-by-step explanation:

The data of the sugar solutions are;

The volume of 5% sugar solution Kate has = 3 quarts

The volume of the 12% sugar solution = X

Let 'Y' represent the volume of the 8% sugar solution, we have;

The volume of the resultant solution, Z = X + Y + 3

The concentration of the resultant solution = 10%

0.05 × 3 + 0.08·Y + 0.12·X = 0.1·(X + Y + 3)

Solving gives the relationship between the volume of the 12% sugar solution, 'X', and the 8% sugar solution, 'Y' in quartz, as follows;

X = (2·Y + 15)/2

When the volume of the 8% sugar solution, Y = 2 quartz, we have;

X = (2 × 2 + 15)/2 = 9.5

Therefore, the volume of the 12% sugar solution Katie requires to make the 10% sugar solution is 9.5 quartz.

A TV, has a listed price of $823.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

The price is $887.81.

Step-by-step explanation:

Multiply $823.95 by 0.075 to find the sales tax. Then add that number to the total, $823.95, to get $887.81.

Answer: $887.81
Step by step explanation: Cost of the TV + 7.75% of the TV cost to determine the sales tax.
Have a great day! Hope this helps.

Calculate the sum. -16 + (-12) C A. 28 B. 4 C. -4 D. -28

Answers

Answer:

-28

Step-by-step explanation:

-16 +(-12)

= -16 - 12

adding both of them,

= - 28

Math HW Mr Thompson May 24

Answers

Answers:

B) 0A) 27D) 50See the diagram below.C) 143

================================================

Explanations:

Refer to the top left corner of the table. This is the intersection of the "less than 1 year" column and "antlers" row.Add up everything in the "1 year or older" column to get 12+15 = 27.There are 0+12 = 12 deer with antlers, and 23+15 = 38 deer with no antlers. I'm adding across the rows. This in turn means there are 12+38 = 50 deer total. You could also add across the columns, meaning we have 0+23 = 23 deer less than 1 years old, and 12+15 = 27 deer that are 1 year or older. So we have 23+27 = 50 deer total. The explanation is lengthy. There's not much room here so I'll explain in the section below. Refer to the table below as well.Dividing everything by 143 will help us get the values into percentages. For instance, 62/143 = 0.4336 = 43.36% approximately represents the number of people who wear a belt and also wear a watch (top left corner).

-----------

Explanation for problem 4

We have 68 people who split the check out of 122 total. That leaves 122-68 = 54 people who don't split the check. These two values are the row totals for rows 1 and 2 in that order. So you'll have 68 at the end of row 1, and 54 at the end of row 2. Refer to the diagram below.

We have 56 people who prefer to skip dessert, meaning 122-56 = 66 people who order desert. We'll have 66 followed by 56 along the first two items in the bottom row. The grand total 122 is in the bottom right corner. The 122 is both in the total row and total column.

Then we're told that 50 people order desert and split the check. We had 68 people split the check, leaving 68-50 = 18 people who split the check, but didn't get dessert. For the first row, we have the values 50, 18, and 68. Note that 50+18 = 68.

In the second row, we must have the values 16, 38, and 54 in that order. The blank spaces are filled in using the same ideas as I've discussed in previous paragraphs.

The terms in gray boxes represent the totals, which would be left out when forming the table in your final answer. Meaning you'll have a 2x2 table instead of a 3x3 table.

What is the volume of the sphere with a diameter of 18 centimeters? Round to the nearest
hundredth.

Answers

Answer:

3054.024cm^3

Step-by-step explanation:

Given data

Diameter= 18cm

Radius= 9cm

The expression for the volume of a sphere is given as

Volume = 4/3πr^3

Volume= 4/3*3.142*9^3

Volume= 4/3*3.142*729

Volume= 9162.072/3

Volume= 3054.024 cm^3

Hence the volume is 3054.024cm^3

WHAT IS THe ANSWER TO THIS !

Answers

2.5ft by 4.5ft

Make all of them into fractions(9/4 by 5/4) then multiply by .5 for every 1/4 (1/2 / 2) so the answer is 2.5 by 4.5

See your levels
A company has $2,145 to send its employees to a conference. The conference costs $39 for
each employee who attends. How many employees can the company send to the conference?

Answers

Answer:

55

Step-by-step explanation:

if it cost 2,145 for the whole thing and 39 for each person 2,145 divide by 39= 55

A stick is cut into 8 equal pieces. If each piece were 10cm shorter,we could have cut the original stick into 12 equal pieces. How long is the stick?

Answers

Answer:

240 cm

Step-by-step explanation:

8x=12(x-10)

8x = 12x -120

120 = 4x

30 = x

solve the equations: 4x - 6 = 6 - 2x , 3(x - 4) = 5​

Answers

Answer:

First of all are we solving for x

Step-by-step explanation:

4 × 3 = 12 =

6 - 2 ×

Correct I’ll give brainlist no links or I’ll report

Answers

Answer:

None of these answers

Step-by-step explanation:

Plug the points into the equation to see if they make sense

(4,-10),  -10=3(4)+2, -10=12+2, -10=14. Incorrect

(10,-4). -4=3(10)+2, -4=30+2, -4=32. Incorrect

(-10,-4), -4=3(-10)+2, -4=-30+2, -4=-28. Incorrect

Therefore, the answer is none of these answers

If this helps please mark as brainliest

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade

Answers

1. x=6
2. x=8/125
3. x=5
4. x=4/5

During a sale, an automobile dealer sold 69 cars and trucks. If she sold 27 more cars than trucks, how many did she sell?

Answers

She would have sold 96 cars in total.

since im too lazy to do this

order the points from least to greatest

here are the stuff roo put in least to greatest

-1/2
-1.125
0.375
1/2
-7/8​

Answers

Answer:

the answer is B

Step-by-step explanation:

.. Using a truck, Mrs. Burkett needs to haul
46.8 tons of gravel from a quarry to a
jobsite. Her truck can haul 2 tons of
gravel at one time. What number of trips
will Mrs. Burkett need to make from the
quarry to the jobsite?
F 20 G 16 H 18 J 12

Answers

Answer: 18

Step-by-step explanation:

18

Find the sum of the first 10 terms for the following sequence: a = {-1, 2, 5, ... }

Answers

Answer:

see, to find the next number, you need to add three to the last one

for example, the 3 was added to 2, so we have five here

5+3=8

8+3=11

and ....

so the next ten numbers are:

8, 11, 14, 17,20,23,26,29,32,35

I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it

Answer:

it's +3 each time

Step-by-step explanation:

the formula for the nth term of an arithmetic progression is

[tex]a _{n} = d \times n + a _{1} - d[/tex]

A bag of colored candies had 38 brown candies, 6 red pieces, 19 yellow pieces, 8 blue pieces, 17 orange pieces, and 12 green pieces. How many green pieces would you expect to find in a bag of 250 candies?

Answers

Answer:

138

Step-by-step explanation:

Round 958.989730730 to the nearest hundredth

Answers

Answer:

958.99

Step-by-step explanation:

Since the nine is bigger than four, you'd make the eight a nine.

For further help I suggest this website:

https://www.varsitytutors.com/hotmath/hotmath_help/topics/rounding-decimals

What is the total area in cm^2? 50 40 30 20

Answers

Answer:

50 cm²

Step-by-step explanation:

5 · 6 = 30 cm²

14 - 6 = 8

8 · 5 = 40 cm²

40 cm² ÷ 2 = 20 cm²

30 cm² + 20 cm²

50 cm²

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